\[\frac{b + 4}{2} > \frac{5 - 2b}{3}\ \ \ | \cdot 6\]
\[3(b + 4) > 2(5 - 2b)\]
\[3b + 12 > 10 - 4b\]
\[7b > - 2\]
\[b > - \frac{2}{7}.\]
\[Ответ:при\ b > - \frac{2}{7}.\]